%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN393+1.003 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:48:07 EDT 2024
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 335 ( 0 equ)
% Maximal formula atoms : 192 ( 10 avg)
% Number of connectives : 462 ( 159 ~; 249 |; 44 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel12,conjecture,
( ( ( p1
<=> p2 )
<=> p3 )
<=> ( p1
<=> ( p2
<=> p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel12) ).
fof(c0,negated_conjecture,
~ ( ( ( p1
<=> p2 )
<=> p3 )
<=> ( p1
<=> ( p2
<=> p3 ) ) ),
inference(assume_negation,[status(cth)],[pel12]) ).
fof(c1,negated_conjecture,
( ( ( ( ( ( ~ p1
| ~ p2 )
& ( p1
| p2 ) )
| ~ p3 )
& ( ( ( ~ p1
| p2 )
& ( ~ p2
| p1 ) )
| p3 ) )
| ( ( ~ p1
| ( ( ~ p2
| ~ p3 )
& ( p2
| p3 ) ) )
& ( p1
| ( ( ~ p2
| p3 )
& ( ~ p3
| p2 ) ) ) ) )
& ( ( ( ( ( ~ p1
| ~ p2 )
& ( p1
| p2 ) )
| p3 )
& ( ~ p3
| ( ( ~ p1
| p2 )
& ( ~ p2
| p1 ) ) ) )
| ( ( ~ p1
| ( ( ~ p2
| p3 )
& ( ~ p3
| p2 ) ) )
& ( ( ( ~ p2
| ~ p3 )
& ( p2
| p3 ) )
| p1 ) ) ) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
( ( ~ p1
| ~ p2
| ~ p3
| ~ p1
| ~ p2
| ~ p3 )
& ( ~ p1
| ~ p2
| ~ p3
| ~ p1
| p2
| p3 )
& ( ~ p1
| ~ p2
| ~ p3
| p1
| ~ p2
| p3 )
& ( ~ p1
| ~ p2
| ~ p3
| p1
| ~ p3
| p2 )
& ( p1
| p2
| ~ p3
| ~ p1
| ~ p2
| ~ p3 )
& ( p1
| p2
| ~ p3
| ~ p1
| p2
| p3 )
& ( p1
| p2
| ~ p3
| p1
| ~ p2
| p3 )
& ( p1
| p2
| ~ p3
| p1
| ~ p3
| p2 )
& ( ~ p1
| p2
| p3
| ~ p1
| ~ p2
| ~ p3 )
& ( ~ p1
| p2
| p3
| ~ p1
| p2
| p3 )
& ( ~ p1
| p2
| p3
| p1
| ~ p2
| p3 )
& ( ~ p1
| p2
| p3
| p1
| ~ p3
| p2 )
& ( ~ p2
| p1
| p3
| ~ p1
| ~ p2
| ~ p3 )
& ( ~ p2
| p1
| p3
| ~ p1
| p2
| p3 )
& ( ~ p2
| p1
| p3
| p1
| ~ p2
| p3 )
& ( ~ p2
| p1
| p3
| p1
| ~ p3
| p2 )
& ( ~ p1
| ~ p2
| p3
| ~ p1
| ~ p2
| p3 )
& ( ~ p1
| ~ p2
| p3
| ~ p1
| ~ p3
| p2 )
& ( ~ p1
| ~ p2
| p3
| ~ p2
| ~ p3
| p1 )
& ( ~ p1
| ~ p2
| p3
| p2
| p3
| p1 )
& ( p1
| p2
| p3
| ~ p1
| ~ p2
| p3 )
& ( p1
| p2
| p3
| ~ p1
| ~ p3
| p2 )
& ( p1
| p2
| p3
| ~ p2
| ~ p3
| p1 )
& ( p1
| p2
| p3
| p2
| p3
| p1 )
& ( ~ p3
| ~ p1
| p2
| ~ p1
| ~ p2
| p3 )
& ( ~ p3
| ~ p1
| p2
| ~ p1
| ~ p3
| p2 )
& ( ~ p3
| ~ p1
| p2
| ~ p2
| ~ p3
| p1 )
& ( ~ p3
| ~ p1
| p2
| p2
| p3
| p1 )
& ( ~ p3
| ~ p2
| p1
| ~ p1
| ~ p2
| p3 )
& ( ~ p3
| ~ p2
| p1
| ~ p1
| ~ p3
| p2 )
& ( ~ p3
| ~ p2
| p1
| ~ p2
| ~ p3
| p1 )
& ( ~ p3
| ~ p2
| p1
| p2
| p3
| p1 ) ),
inference(distribute,[status(thm)],[c1]) ).
cnf(c3,negated_conjecture,
( ~ p1
| ~ p2
| ~ p3
| ~ p1
| ~ p2
| ~ p3 ),
inference(split_conjunct,[status(thm)],[c2]) ).
cnf(c35,plain,
( ~ p1
| ~ p2
| ~ p3 ),
inference(factor,[status(thm)],[c3]) ).
cnf(c17,negated_conjecture,
( ~ p2
| p1
| p3
| p1
| ~ p2
| p3 ),
inference(split_conjunct,[status(thm)],[c2]) ).
cnf(c38,plain,
( ~ p2
| p1
| p3 ),
inference(factor,[status(thm)],[c17]) ).
cnf(c26,negated_conjecture,
( p1
| p2
| p3
| p2
| p3
| p1 ),
inference(split_conjunct,[status(thm)],[c2]) ).
cnf(c40,plain,
( p1
| p2
| p3 ),
inference(factor,[status(thm)],[c26]) ).
cnf(c54,plain,
( p1
| p3 ),
inference(resolution,[status(thm)],[c40,c38]) ).
cnf(c19,negated_conjecture,
( ~ p1
| ~ p2
| p3
| ~ p1
| ~ p2
| p3 ),
inference(split_conjunct,[status(thm)],[c2]) ).
cnf(c39,plain,
( ~ p1
| ~ p2
| p3 ),
inference(factor,[status(thm)],[c19]) ).
cnf(c12,negated_conjecture,
( ~ p1
| p2
| p3
| ~ p1
| p2
| p3 ),
inference(split_conjunct,[status(thm)],[c2]) ).
cnf(c37,plain,
( ~ p1
| p2
| p3 ),
inference(factor,[status(thm)],[c12]) ).
cnf(c53,plain,
( p2
| p3 ),
inference(resolution,[status(thm)],[c40,c37]) ).
cnf(c59,plain,
( p3
| ~ p1 ),
inference(resolution,[status(thm)],[c53,c39]) ).
cnf(c68,plain,
p3,
inference(resolution,[status(thm)],[c59,c54]) ).
cnf(c71,plain,
( ~ p1
| ~ p2 ),
inference(resolution,[status(thm)],[c68,c35]) ).
cnf(c10,negated_conjecture,
( p1
| p2
| ~ p3
| p1
| ~ p3
| p2 ),
inference(split_conjunct,[status(thm)],[c2]) ).
cnf(c36,plain,
( p1
| p2
| ~ p3 ),
inference(factor,[status(thm)],[c10]) ).
cnf(c57,plain,
( p1
| p2 ),
inference(resolution,[status(thm)],[c40,c36]) ).
cnf(c28,negated_conjecture,
( ~ p3
| ~ p1
| p2
| ~ p1
| ~ p3
| p2 ),
inference(split_conjunct,[status(thm)],[c2]) ).
cnf(c65,plain,
( ~ p3
| ~ p1
| p2 ),
inference(factor,[status(thm)],[c28]) ).
cnf(c73,plain,
( ~ p3
| p2 ),
inference(resolution,[status(thm)],[c65,c57]) ).
cnf(c74,plain,
p2,
inference(resolution,[status(thm)],[c73,c68]) ).
cnf(c75,plain,
~ p1,
inference(resolution,[status(thm)],[c74,c71]) ).
cnf(c33,negated_conjecture,
( ~ p3
| ~ p2
| p1
| ~ p2
| ~ p3
| p1 ),
inference(split_conjunct,[status(thm)],[c2]) ).
cnf(c76,plain,
( ~ p3
| ~ p2
| p1 ),
inference(factor,[status(thm)],[c33]) ).
cnf(c78,plain,
( ~ p3
| p1 ),
inference(resolution,[status(thm)],[c76,c74]) ).
cnf(c79,plain,
p1,
inference(resolution,[status(thm)],[c78,c68]) ).
cnf(c80,plain,
$false,
inference(resolution,[status(thm)],[c79,c75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN393+1.003 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 20:09:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.55 % Version: 1.5
% 0.21/0.55 % SZS status Theorem
% 0.21/0.55 % SZS output start CNFRefutation
% See solution above
% 0.21/0.55
% 0.21/0.55 % Initial clauses : 32
% 0.21/0.55 % Processed clauses : 27
% 0.21/0.55 % Factors computed : 10
% 0.21/0.55 % Resolvents computed: 36
% 0.21/0.55 % Tautologies deleted: 28
% 0.21/0.55 % Forward subsumed : 14
% 0.21/0.55 % Backward subsumed : 23
% 0.21/0.55 % -------- CPU Time ---------
% 0.21/0.55 % User time : 0.178 s
% 0.21/0.55 % System time : 0.014 s
% 0.21/0.55 % Total time : 0.192 s
%------------------------------------------------------------------------------